Personally I wouldn’t write a story entirely based on just the lore itself. That would be boring. Instead, try making your own stories based on that lore. I got some of my ideas if you don’t mind.
This would likely be a story of your main protagonist’s life before the outbreak. Explains some of the things before the outbreak or all that jazz.
Where the world just when to hell. Panic breaks out across the world.
This is where the funs begins. You can write about the wasteland. Coalitions. Or how your protagonist met up with typical shenanigans in every zombie genre story.
You don’t have to write a story on just one protagonist however. You can write multiples stories with differents protagonists on how they live or on how their camps get overrun. Heck, you can even write a story with a narrator as he told the story of how the world turns to heck. FRICK, frickidy frick frick, beachballs fecesreproduces frick.